Subtleties Concerning Conformal Tractor Bundles
Differential Geometry
2012-01-13 v1
Abstract
The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topologically distinct associated tractor bundles for the same inducing representation. Consequences for homogeneous models and conformal holonomy are described. A careful presentation is made of background material concerning standard tractor bundles and equivalence between parabolic geometries and underlying structures.
Keywords
Cite
@article{arxiv.1201.2670,
title = {Subtleties Concerning Conformal Tractor Bundles},
author = {C. Robin Graham and Travis Willse},
journal= {arXiv preprint arXiv:1201.2670},
year = {2012}
}
Comments
17 pages